Replace zed_llm_client with cloud_llm_client (#35309)

This PR replaces the usage of the `zed_llm_client` with the
`cloud_llm_client`.

It was ported into this repo in #35307.

Release Notes:

- N/A

crates/assistant_tools/src/edit_agent.rs

@@ -7,6 +7,7 @@ mod streaming_fuzzy_matcher;
 use crate::{Template, Templates};
 use anyhow::Result;
 use assistant_tool::ActionLog;
+use cloud_llm_client::CompletionIntent;
 use create_file_parser::{CreateFileParser, CreateFileParserEvent};
 pub use edit_parser::EditFormat;
 use edit_parser::{EditParser, EditParserEvent, EditParserMetrics};
@@ -29,7 +30,6 @@ use std::{cmp, iter, mem, ops::Range, path::PathBuf, pin::Pin, sync::Arc, task::
 use streaming_diff::{CharOperation, StreamingDiff};
 use streaming_fuzzy_matcher::StreamingFuzzyMatcher;
 use util::debug_panic;
-use zed_llm_client::CompletionIntent;
 
 #[derive(Serialize)]
 struct CreateFilePromptTemplate {

crates/assistant_tools/src/web_search_tool.rs

@@ -6,6 +6,7 @@ use anyhow::{Context as _, Result, anyhow};
 use assistant_tool::{
     ActionLog, Tool, ToolCard, ToolResult, ToolResultContent, ToolResultOutput, ToolUseStatus,
 };
+use cloud_llm_client::{WebSearchResponse, WebSearchResult};
 use futures::{Future, FutureExt, TryFutureExt};
 use gpui::{
     AnyWindowHandle, App, AppContext, Context, Entity, IntoElement, Task, WeakEntity, Window,
@@ -17,7 +18,6 @@ use serde::{Deserialize, Serialize};
 use ui::{IconName, Tooltip, prelude::*};
 use web_search::WebSearchRegistry;
 use workspace::Workspace;
-use zed_llm_client::{WebSearchResponse, WebSearchResult};
 
 #[derive(Debug, Serialize, Deserialize, JsonSchema)]
 pub struct WebSearchToolInput {